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Finding the Fourth Proportional to 3,762.18, 5,635.05 and 2,296.89

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Solution

The fourth proportional to 3,762.18, 5,635.05 and 2,296.89 is: 3,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.18 : 5,635.05 = 2,296.89 : x
  2. Step 2: Convert to fraction form
    3,762.18/5,635.05 = 2,296.89/x
  3. Step 3: Cross multiply
    3,762.18x = 5,635.05 × 2,296.89
  4. Step 4: Simplify right side
    3,762.18x = 12,943,089.99
  5. Step 5: Solve for x
    x = 12,943,089.99/3,762.18
  6. Step 6: Final answer
    x = 3,440.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.